Reducing the clustering challenge in the IoT using two disjoint convex hulls
Accurate clustering of IoT devices is a promising challenge. We have observed that a few studies have been performed to address this challenge. However, they are expensive or do not shape accurate clustering. To fill this gap, in this study, we first solve a geometric version of a big challenge in pure mathematics: the NP-hard "Almost [Formula: see text]" problem. Then, we solve it in a polynomial time. To clarify the concept, we present it as the "Two Disjoint Convex Hulls" challenge. We solve this challenge using two algorithms: the first is "Naive" and the second is faster than the "Naive" one can solve it in polynomial order, [Formula: see text]. In addition to providing a mathematical proof of our solution, we demonstrate its superior performance within an IoT industrial ecosystem.
Authors
- Mehdi Gheisari (ORCID: https://orcid.org/0000-0002-5643-0021)
- Yi He Wan (ORCID: https://orcid.org/0000-0001-5317-7748)
- Bahram Sadeghi Bigham (ORCID: https://orcid.org/0000-0003-3387-3193)
- Aminreza Karamoozian (ORCID: https://orcid.org/0000-0002-7685-1480)
- Huxiong Li (ORCID: https://orcid.org/0000-0002-1795-7496)
- Panjun Sun (ORCID: https://orcid.org/0000-0002-4634-5886)
Institutions
- Shaoxing University (CN)
- Alzahra University (IR)
Publication Details
- Journal
- Scientific Reports
- Published
- 2025-05-17
- DOI
- https://doi.org/10.1038/s41598-025-88932-2
- Primary Topic
- Energy Efficient Wireless Sensor Networks
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Natural Science Foundation of Zhejiang Province